AICLNAApr 8, 2025

FEABench: Evaluating Language Models on Multiphysics Reasoning Ability

arXiv:2504.06260v117 citationsh-index: 11Has Code
Originality Incremental advance
AI Analysis

This work addresses the problem of automating complex engineering simulations for researchers and engineers, though it is incremental as it builds on existing LLM agent and tool-use capabilities.

The authors tackled the challenge of evaluating large language models' ability to simulate and solve physics, mathematics, and engineering problems using finite element analysis, resulting in a benchmark where their best strategy generated executable API calls 88% of the time.

Building precise simulations of the real world and invoking numerical solvers to answer quantitative problems is an essential requirement in engineering and science. We present FEABench, a benchmark to evaluate the ability of large language models (LLMs) and LLM agents to simulate and solve physics, mathematics and engineering problems using finite element analysis (FEA). We introduce a comprehensive evaluation scheme to investigate the ability of LLMs to solve these problems end-to-end by reasoning over natural language problem descriptions and operating COMSOL Multiphysics$^\circledR$, an FEA software, to compute the answers. We additionally design a language model agent equipped with the ability to interact with the software through its Application Programming Interface (API), examine its outputs and use tools to improve its solutions over multiple iterations. Our best performing strategy generates executable API calls 88% of the time. LLMs that can successfully interact with and operate FEA software to solve problems such as those in our benchmark would push the frontiers of automation in engineering. Acquiring this capability would augment LLMs' reasoning skills with the precision of numerical solvers and advance the development of autonomous systems that can tackle complex problems in the real world. The code is available at https://github.com/google/feabench

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